A playground carousel is rotating about its center.The radius of the carousel is 1.50 m,its initial angular speed is 3.14 rad/s and its moment of inertia is 125 kg m2.A 40.0-kg person climbs onto the carousel near its outer edge.What is the angular speed of the carousel after the person climbs aboard?

A) 1.41 rad/s B) 1.57 rad/s C) 1.83 rad/s D) 3.14 rad/s A) 1.41 rad/s B) 1.57 rad/s C) 1.83 rad/s D) 3.14 rad/s

A thin uniform rod (length = 125 cm,mass = 250 g)is pivoted about a horizontal frictionless pin through one end of the rod.The moment of inertia of the rod through this axis is (1/3)mL2.The rod is released when it is 20o below the horizontal.What is the angular acceleration of the rod at the instant it is released?

A) 7.36 rad/s2 B) 14.7 rad/s2 C) 11.1 rad/s2 D) 22.1 rad/s2 E) 16.7 rad/s2 A) 7.36 rad/s2 B) 14.7 rad/s2 C) 11.1 rad/s2 D) 22.1 rad/s2 E) 16.7 rad/s2

A uniform 1-kg disk with a radius of 25 cm rolls 2 m down an incline plane angled at 25S1U1P1$\circ$S1S1P0.What is the speed of the disk at the bottom of the plane?

A) 4.07 m/s B) 3.32 m/s C) 5.43 m/s D) 6.26 m/s E) 1.24 m/s A) 4.07 m/s B) 3.32 m/s C) 5.43 m/s D) 6.26 m/s E) 1.24 m/s

A cyclist exerts a vertical force of 150 N on one end of a pedal rod of length 18 cm than is inclined at an angle 45S1U1P1$\circ$S1S1P0 to the horizontal.The magnitude of the torque about the fixed end of the pedal rod is

A) 19 Nm. B) 24 Nm. C) 27 Nm. D) 32 Nm E) 56 Nm. A) 19 Nm. B) 24 Nm. C) 27 Nm. D) 32 Nm E) 56 Nm.

Exam 10: Rotation

The tangential force F shown in figure below is applied to a 2-kg disc is allowed to rotate about an axis through its center.The magnitude of this tangential force is given in the graph of F vs.Angular Position.With the disc at rest initially and ignoring frictional torque,the disc's angular velocity after one full rotation is -31.4 rad/sec.What is the diameter of the disk?

(Multiple Choice)

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Question 61

A uniform solid sphere of mass M and radius R is rolling without slipping along a level plane with an initial speed of v = 5.00 m/s when it encounters a ramp that is at an angle above horizontal.The maximum distance that the sphere rolls without slipping up the ramp before (instantaneously)stopping and rolling back down is 2.15 m.

(Multiple Choice)

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Question 62

A playground carousel is rotating about its center.The radius of the carousel is 1.50 m,its initial angular speed is 3.14 rad/s and its moment of inertia is 125 kg m².A 40.0-kg person climbs onto the carousel near its outer edge.What is the angular speed of the carousel after the person climbs aboard?

(Multiple Choice)

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Question 63

A composite object is made of two disc shaped sections A and B,as shown in the figure,and is rotating about an axis through the center of disc

(Multiple Choice)

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Question 64

A thin uniform rod (length = 125 cm,mass = 250 g)is pivoted about a horizontal frictionless pin through one end of the rod.The moment of inertia of the rod through this axis is (1/3)mL².The rod is released when it is 20^o below the horizontal.What is the angular acceleration of the rod at the instant it is released?

(Multiple Choice)

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Question 65

The Crab Pulsar, radius is a neutron star located in the Crab Nebula.The rotation of the Crab Pulsar is currently approximately 30 rotations per second,or 60 rad/s.The rotation rate of the star,however,is decreasing such that each year the rotation period increases by 10^-5 s.Estimate the amount of energy the pulsar looses each year.

(Multiple Choice)

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Question 66

A wheel of radius R rolls without slipping with angular speed $\omega$ ,the linear speed of its center is A.The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg,and 25 cm and 2.5 cm.What is the moment of inertia of the composite object? $A wheel of radius R rolls without slipping with angular speed \omega ,the linear speed of its center is A.The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg,and 25 cm and 2.5 cm.What is the moment of inertia of the composite object?$

(Multiple Choice)

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Question 67

The tangential force F shown in figure below is applied to a disc is allowed to rotate about an axis through its center.The diameter of the disc is 24.0 cm.The magnitude of this tangential force is given in the graph of F vs.Angular Position.With the disc at rest initially and ignoring frictional torque,find the disc's kinetic energy after one full rotation.

(Multiple Choice)

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Question 68

A solid cylinder rolls without slipping on a horizontal surface such that its center of mass moves at 5.0 m/s.If it has a total kinetic energy is 1.7 kJ,what is its mass?

(Multiple Choice)

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Question 69

A uniform 1-kg disk with a radius of 25 cm rolls 2 m down an incline plane angled at 25^$\circ$.What is the speed of the disk at the bottom of the plane?

(Multiple Choice)

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Question 70

A disk rotates about an axis perpendicular to the plane of the disk D = 0.593 m from the center of the disk.The disk has a mass of M = 2.6 kg and a radius of R = 1.22 m.What is the moment of inertia of the disk about this axis?

(Multiple Choice)

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Question 71

A massless string is wrapped around a cylinder of mass 0.500 kg and radius 0.100 m.The string is attached to the ceiling.The cylinder is released.As it falls,the string unwinds.What is the magnitude of the tension in the string as the cylinder falls in N?

(Multiple Choice)

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Question 72

A baton consists of a nearly massless rod of length L and two spheres attached to the ends of the rod,whose masses are each M and whose centers are separated by L.The spheres have radius R.If the sphere radius R is negligible compared to the length L,what is the moment of inertia of the baton about an axis perpendicular to its length and passing through its center?

(Multiple Choice)

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Question 73

A cyclist exerts a vertical force of 150 N on one end of a pedal rod of length 18 cm than is inclined at an angle 45^$\circ$ to the horizontal.The magnitude of the torque about the fixed end of the pedal rod is

(Multiple Choice)

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Question 74

Two children balance on a seesaw,which consists of a 70-kg thin 5-m long steel rod that pivots about its center on a fulcrum.The first child has a mass of 22 kg and sits 2.5 m from the fulcrum while the second child with mass 31 kg sits on the opposite side,1.8 m from the fulcrum.The moment of inertia of the seesaw/children system about the fulcrum is

(Multiple Choice)

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Question 75

Which of the following statements is true?

(Multiple Choice)

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Question 76

A 0.80-kg bead slides on a wire bent into a circle of radius 0.40 m.You pluck the bead with a force tangent to the circle.What force is needed to give the bead an angular acceleration of 3.0 rad/s²?

(Multiple Choice)

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Question 77

A uniform solid sphere of mass M and radius R is rolling without slipping along a level plane with an initial speed of v = 4.00 m/s when it encounters a ramp that is at an angle of $\theta$ = 32.0^o above horizontal.Find the maximum distance that the sphere rolls without slipping up the ramp before (instantaneously)stopping.

(Multiple Choice)

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Question 78

Showing 61 - 78 of 78

Exam 10: Rotation

A composite object is made of two disc shaped sections A and B,as shown in the figure,and is rotating about an axis through the center of disc

A wheel of radius R rolls without slipping with angular speed ω\omegaω ,the linear speed of its center is A.The masses and the radii of discs A and B are respectively 2 kg and 0.2 kg,and 25 cm and 2.5 cm.What is the moment of inertia of the composite object?

A solid cylinder rolls without slipping on a horizontal surface such that its center of mass moves at 5.0 m/s.If it has a total kinetic energy is 1.7 kJ,what is its mass?

A uniform 1-kg disk with a radius of 25 cm rolls 2 m down an incline plane angled at 25 ∘\circ∘ .What is the speed of the disk at the bottom of the plane?

A disk rotates about an axis perpendicular to the plane of the disk D = 0.593 m from the center of the disk.The disk has a mass of M = 2.6 kg and a radius of R = 1.22 m.What is the moment of inertia of the disk about this axis?

A massless string is wrapped around a cylinder of mass 0.500 kg and radius 0.100 m.The string is attached to the ceiling.The cylinder is released.As it falls,the string unwinds.What is the magnitude of the tension in the string as the cylinder falls in N?

A cyclist exerts a vertical force of 150 N on one end of a pedal rod of length 18 cm than is inclined at an angle 45 ∘\circ∘ to the horizontal.The magnitude of the torque about the fixed end of the pedal rod is

Which of the following statements is true?

A 0.80-kg bead slides on a wire bent into a circle of radius 0.40 m.You pluck the bead with a force tangent to the circle.What force is needed to give the bead an angular acceleration of 3.0 rad/s2?

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A uniform 1-kg disk with a radius of 25 cm rolls 2 m down an incline plane angled at 25^$\circ$.What is the speed of the disk at the bottom of the plane?

A cyclist exerts a vertical force of 150 N on one end of a pedal rod of length 18 cm than is inclined at an angle 45^$\circ$ to the horizontal.The magnitude of the torque about the fixed end of the pedal rod is

A 0.80-kg bead slides on a wire bent into a circle of radius 0.40 m.You pluck the bead with a force tangent to the circle.What force is needed to give the bead an angular acceleration of 3.0 rad/s²?